Question

The shaded region outside the small square but inside the large rectangle models the grass in Shannon’s back yard. If the dimensions are given measures in feet, which expression represents the area of the shades region?

Answer 1

The answer is (A) 27x² - 20x

Answer 2

The area of the shaded region will be given by:
Area=(area of rectangle)-(area of square)
area of rectangle is given be:
A=length*width
A=4x*(7x-5)
A=28x^2-20x

area of the square is given by:
A=length*length
A=x*x=x^2
The area of the shaded will be represented by the expression as follows:
(28x^2-20x)-x^2
=27x^2-20x

Answer: 27x^2-x^2